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Finding the Third Proportional to 426,228 and 710,280

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Solution

The third proportional to 426,228 and 710,280 is: 1,183,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,228 : 710,280 = 710,280 : x
  2. Step 2: Convert to fraction form
    426,228/710,280 = 710,280/x
  3. Step 3: Cross multiply
    426,228x = 710,280 × 710,280
  4. Step 4: Simplify right side
    426,228x = 504,497,678,400
  5. Step 5: Solve for x
    x = 504,497,678,400/426,228
  6. Step 6: Final answer
    x = 1,183,633.36

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.